The stable regions of triangular libration points of the planets (II).

Astronomy and Astrophysics – Astronomy

Scientific paper

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Three-Body Problem: Restricted, Three-Body Problem: Libration Points, Planets: Libration Points

Scientific paper

The possibilities keeping small bodies forever in the vicinity of the triangular libration points of the restricted three-body problems which consist of Sun and one of the inner planets, or of Sun and one of the outer planets, are discussed and analysed by a large number of long time numerical calculations. Some quantitative results on the real stable regions of the triangular libration points of the planets are presented. From the viewpoint of 1/1 orbital resonance, the authors give the stable regions of triangular libration points of the planets in the ideal case. Their numerical results show that triangular libration points of the outer planets have relatively large stable regions, while the inner planets Mercury and Venus have relatively small stable regions, and the small bodies near the triangular libration points of Earth and Mars can not exist for a long time.

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